Given f, left bracket, x, right bracket, equals, 4, x, squared, minus, 3, x, minus, 16f(x)=4x
2
−3x−16, find f, left bracket, minus, 2, right bracketf(−2)
Answer
To find f(-2), we substitute -2 into the expression for f(x):
f(x) = 4x^2 - 3x - 16
f(-2) = 4(-2)^2 - 3(-2) - 16
f(-2) = 4(4) + 6 - 16
f(-2) = 16 + 6 - 16
f(-2) = 22 - 16
f(-2) = 6
To find f(-2), we need to substitute -2 for x in the expression f(x) = 4x^2 - 3x - 16.
So, we have:
f(-2) = 4(-2)^2 - 3(-2) - 16
Now, we can simplify this expression:
f(-2) = 4(4) + 6 - 16
f(-2) = 16 + 6 - 16
f(-2) = 22 - 16
f(-2) = 6
Therefore, f(-2) is equal to 6.
To find the value of f(-2), we need to substitute -2 into the function f(x) and calculate the result.
Given that f(x) = 4x^2 - 3x - 16, we can substitute -2 for x in the equation:
f(-2) = 4(-2)^2 - 3(-2) - 16
First, let's calculate -2^2, which equals 4:
f(-2) = 4(4) - 3(-2) - 16
Next, let's calculate -3(-2), which equals 6:
f(-2) = 16 - 6 - 16
Now, let's calculate 16 - 6, which equals 10:
f(-2) = 10 - 16
Finally, let's calculate 10 - 16, which equals -6:
f(-2) = -6
Therefore, the value of f(-2) is -6.